Construction of a
Pentagon on the cube
Proof of Part I:
Pentagon is Equilateral
Proof of Part II:
Pentagon is in One Plane
Proof of Part III:
Pentagon is Equiangular
Proof of Part IV:
Side of Dodec Form Apotome
Construction of the Dodecahedron
By connecting all the points extended by the Cube-to-Pentagon Connection Lines and 2 corners of the cube, we apparently obtain a pentagon.
The next part of the proof will show that this is a regular pentagon.
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